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Technical Note—An Equivalence Between Continuous and Discrete Time Markov Decision Processes
Author(s) -
Richard F. Serfozo
Publication year - 1979
Publication title -
operations research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.797
H-Index - 140
eISSN - 1526-5463
pISSN - 0030-364X
DOI - 10.1287/opre.27.3.616
Subject(s) - markov decision process , discrete time and continuous time , partially observable markov decision process , equivalence (formal languages) , markov process , bounded function , mathematics , markov chain , mathematical optimization , mathematical economics , markov model , markov kernel , markov renewal process , variable order markov model , discrete mathematics , statistics , mathematical analysis
A continuous time Markov decision process with uniformly bounded transition rates is shown to be equivalent to a simpler discrete time Markov decision process for both the discounted and average reward criteria on an infinite horizon. This result clarifies some earlier work in this area.

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